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Simplifying 9(3n + -5) = (9n + 1) + 7 Reorder the terms: 9(-5 + 3n) = (9n + 1) + 7 (-5 * 9 + 3n * 9) = (9n + 1) + 7 (-45 + 27n) = (9n + 1) + 7 Reorder the terms: -45 + 27n = (1 + 9n) + 7 Remove parenthesis around (1 + 9n) -45 + 27n = 1 + 9n + 7 Reorder the terms: -45 + 27n = 1 + 7 + 9n Combine like terms: 1 + 7 = 8 -45 + 27n = 8 + 9n Solving -45 + 27n = 8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -45 + 27n + -9n = 8 + 9n + -9n Combine like terms: 27n + -9n = 18n -45 + 18n = 8 + 9n + -9n Combine like terms: 9n + -9n = 0 -45 + 18n = 8 + 0 -45 + 18n = 8 Add '45' to each side of the equation. -45 + 45 + 18n = 8 + 45 Combine like terms: -45 + 45 = 0 0 + 18n = 8 + 45 18n = 8 + 45 Combine like terms: 8 + 45 = 53 18n = 53 Divide each side by '18'. n = 2.944444444 Simplifying n = 2.944444444
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